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Without going into great detail. The easiest way to do this without any downtime would be to add a SAN disk to the disk group you want to migrate. Create a mirror of the volumes you want to migrate. Once the mirrors have been synced, you can break the mirrors and remove the local disk(s). This can be done on the fly. I have done this many times without a single issue. It is well documented and you should be able to get more details from the Symantec web site.

Its been awhile but I'm pretty sure you will create the volumes on the SAN
where you are going to move the disk group. The you would do a vxdg deport
diskgroup-name then do a vxdg import diskgroup-name on the new volume. I'm
not sure but vxassist might also help you with the migration of the
diskgroup to the new SAN volume.